138041580938800
138,041,580,938,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138041580938800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1800 divisors.
138041580938800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138041580938800:
24 × 52 × 72 × 11 × 173 × 194
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 17 × 17 × 17 × 19 × 19 × 19 × 19)See below for interesting mathematical facts about the number 138041580938800 from the Numbermatics database.
Names of 138041580938800
- Cardinal: 138041580938800 can be written as One hundred thirty-eight trillion, forty-one billion, five hundred eighty million, nine hundred thirty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380415809388 × 1014
Factors of 138041580938800
Divisors of 138041580938800
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 19 20 22 25 28 34 35 38 40 44 49 50 55 56 68 70 76 77 80 85 88 95 98 100 110 112 119 133 136 140 152 154 170 175 176 187 190 196 200 209 220 238 245 266 272 275 280 289 304 308 323 340 350 361 374 380 385 392 400 418 425 440 475 476 490 532 539 550 560 578 595 616 646 665 680 700 722 748 760 770 784 833 836 850 880 931 935 950 952 980 1045 1064 1078 1100 1156 1190 1225 1232 1292 1309 1330 1360 1400 1444 1445 1463 1496 1520 1540 1615 1666 1672 1700 1805 1862 1870 1900 1904 1925 1960 2023 2090 2128 2156 2200 2261 2312 2380 2450 2527 2584 2618 2660 2695 2800 2888 2890 2926 2975 2992 3080 3179 3230 3325 3332 3344 3400 3553 3610 3724 3740 3800 3850 3920 3971 4046 4165 4180 4312 4400 4522 4624 4655 4675 4760 4900 4913 5054 5168 5225 5236 5320 5390 5491 5776 5780 5852 5950 6137 6160 6358 6460 6545 6650 6664 6800 6859 7106 7220 7225 7315 7448 7480 7600 7700 7942 8075 8092 8330 8360 8624 9025 9044 9163 9310 9350 9520 9800 9826 10108 10115 10241 10450 10472 10640 10780 10982 11305 11560 11704 11900 12274 12635 12716 12920 13090 13300 13328 13475 13718 14161 14212 14440 14450 14630 14896 14960 15400 15827 15884 15895 16150 16184 16660 16720 17689 17765 18050 18088 18326 18620 18700 19600 19652 19855 20216 20230 20482 20825 20900 20944 21560 21964 22253 22610 23120 23275 23408 23800 24548 24565 24871 25270 25432 25840 26180 26600 26950 27436 27455 27797 28322 28424 28880 28900 29260 30685 30800 31654 31768 31790 32300 32368 32725 33320 34295 34391 35378 35530 36100 36176 36575 36652 37240 37400 38437 39304 39710 40432 40460 40964 41650 41800 42959 43120 43928 44506 45220 45815 46550 47600 48013 49096 49130 49742 50540 50575 50864 51205 52360 53200 53900 54043 54872 54910 55594 56525 56644 56848 57800 58520 60401 61370 63175 63308 63536 63580 64600 65450 66640 67507 68590 68782 70756 70805 71060 72200 73150 73304 74480 74800 75449 76874 78608 79135 79420 79475 80920 81928 83300 83600 85918 87856 88445 88825 89012 90440 91630 93100 93347 96026 98192 98260 99275 99484 101080 101150 102410 104329 104720 107800 108086 109744 109820 111188 111265 113050 113288 115600 116603 117040 120802 122740 122825 124355 126350 126616 127160 129200 130321 130900 135014 137180 137275 137564 138985 141512 141610 142120 144400 146300 146608 150898 153425 153748 155771 158270 158840 158950 161840 163856 166600 171475 171836 171955 174097 176890 177650 178024 180880 183260 186200 186694 192052 192185 194579 196520 198550 198968 202160 202300 204820 208658 214795 215600 216172 219640 222376 222530 226100 226576 229075 233206 240065 240737 241604 245480 245650 248710 252700 253232 254320 256025 260642 261800 269059 270028 270215 274360 274550 275128 277970 283024 283220 284240 292600 300713 301796 302005 306850 307496 311542 316540 317680 317900 333200 336091 337535 342950 343672 343910 348194 353780 354025 355300 356048 366520 372400 373388 377245 378301 384104 384370 389158 393040 395675 397100 397936 404600 409640 417316 422807 429590 432344 439280 442225 444752 445060 452200 458150 466412 466735 472549 480130 481474 483208 490960 491300 497420 505400 512050 521284 521645 523600 528143 538118 540056 540430 548720 549100 550256 555940 556325 566440 583015 585200 601426 603592 604010 613700 614992 621775 623084 633080 635800 651605 653429 672182 675070 685900 687344 687820 694925 696388 707560 708050 710600 730303 733040 746776 754490 756602 768208 768740 778316 778855 791350 794200 809200 816221 819280 834632 845614 859180 859775 864688 870485 884450 890120 904400 912247 916300 932824 933470 945098 960260 960925 962948 966416 972895 982600 994840 1010800 1024100 1026817 1042568 1043290 1056286 1073975 1076236 1080112 1080860 1098200 1111880 1112650 1132880 1147619 1166030 1200325 1202852 1203685 1207184 1208020 1227400 1243550 1246168 1266160 1271600 1282633 1303210 1306858 1344364 1345295 1350140 1351075 1371800 1375640 1389850 1392776 1415120 1416100 1421200 1433531 1460606 1493552 1503565 1508980 1510025 1513204 1537480 1556632 1557710 1582700 1588400 1632442 1669264 1680455 1687675 1691228 1718360 1719550 1740970 1768900 1773593 1780240 1824494 1832600 1865648 1866940 1886225 1890196 1891505 1920520 1921850 1925896 1945790 1965200 1982251 1989680 2048200 2053634 2085136 2086580 2112572 2114035 2147950 2152472 2161720 2196400 2215457 2223760 2225300 2295238 2332060 2333675 2362745 2400650 2405704 2407370 2416040 2454800 2487100 2492336 2565266 2606420 2608225 2613716 2640715 2648107 2688728 2690590 2700280 2702150 2743600 2751280 2779700 2785552 2832200 2867062 2915075 2921212 2959649 3007130 3017960 3020050 3026408 3074960 3113264 3115420 3165400 3258025 3264884 3267145 3307843 3360910 3375350 3382456 3436720 3439100 3481940 3537800 3547186 3648988 3651515 3665200 3697001 3733880 3772450 3780392 3783010 3841040 3843700 3851792 3891580 3894275 3964502 4081105 4096400 4107268 4173160 4225144 4228070 4295900 4304944 4323440 4352425 4430914 4450600 4561235 4574003 4590476 4664120 4667350 4725490 4801300 4811408 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35938595 36489880 36515150 36592024 36970010 37338800 37662769 37803920 37830100 38915800 39019046 39645020 40138868 40166665 40811050 40896968 41072680 41731600 42251440 42280700 42369712 43609522 44309140 44339825 44892155 45612350 45708376 45740030 45904760 46641200 47254900 47354384 48147400 48740054 49556275 49660604 50173585 50314033 51085832 51121210 51305320 51340850 52128400 52274320 52814300 52925488 52962140 53811800 55386425 55503028 56233331 57135470 57341240 57380950 57501752 58424240 59152016 59192980 60142600 62032796 62075755 62308400 62849017 63857290 64131650 64266664 65297680 65342900 66156860 66202675 67218200 67396534 69378785 69638800 70243019 70943720 71676550 71827448 71877190 72979760 73030300 73184048 73940020 73991225 75325538 75660200 77540995 77831600 78038092 79290040 80277736 80333330 81622100 81793936 82145360 82696075 84561400 86906057 87219044 88618280 88679650 89784310 91224700 91416752 91480060 91809520 92425025 94509800 96294800 97130299 97480108 97547615 99112550 99321208 100347170 100628066 102171664 102242420 102610640 102681700 105628600 105924280 107623600 108557393 109023805 110772850 111006056 112466662 114270940 114350075 114682480 114761900 115003504 118385960 120285200 121850135 124065592 124151510 125698034 127714580 127803025 128263300 128533328 130685800 132313720 132405350 134436400 134793068 136566661 138757570 140486038 141887440 142838675 143353100 143654896 143754380 146060600 147880040 147982450 150651076 151320400 152633327 155081990 156076184 158580080 159643225 160555472 160666660 163244200 165392150 168491335 169122800 170590189 173812114 174438088 177236560 177359300 179568620 179692975 182449400 182960120 184850050 188313845 189019600 194260598 194960216 195095230 198225100 198642416 200694340 200833325 201256132 204484840 205363400 211257200 211848560 217114786 218047610 221545700 222012112 224460775 224933324 228541880 228700150 229523800 235887869 236771920 243700270 248131184 248303020 250867925 251396068 251570165 255429160 255606050 256526600 261371600 263639383 264627440 264810700 269586136 273133322 277515140 280972076 281166655 285677350 286706200 287508760 292121200 295760080 295964900 301302152 305266654 310163980 310378775 312152368 314245085 319286450 321333320 326488400 330784300 336982670 341180378 346893925 347624228 348876176 351215095 354718600 359137240 359385950 364898800 365920240 369700100 370680937 376627690 387704975 388521196 389920432 390190460 396450200 401388680 401666650 402512264 408969680 410726800 414290459 434229572 434530285 436095220 443091400 448921550 449866648 457083760 457400300 459047600 471775738 485651495 487400540 487738075 496606040 501735850 502792136 503140330 510858320 511212100 513053200 527278766 529621400 539172272 542786965 545119025 546266644 555030280 561944152 562333310 571354700 573412400 575017520 591929800 602604304 609250675 610533308 620327960 620757550 628490170 638572900 640267073 642666640 661568600 673965340 682360756 682833305 693787850 695248456 702430190 709437200 718274480 718771900 739400200 741361874 753255380 763166635 775409950 777042392 780380920 792900400 802777360 803333300 805024528 828580918 842456675 852950945 868459144 869060570 872190440 886182800 897843100 899733296 914800600 941569225 943551476 955966627 971302990 974801080 975476150 993212080 1003471700 1005584272 1006280660 1022424200 1054557532 1059242800 1068433289 1085573930 1090238050 1092533288 1110060560 1123888304 1124666620 1142709400 1179439345 1183859600 1194131323 1218501350 1221066616 1240655920 1241515100 1256980340 1257850825 1277145800 1280534146 1318196915 1323137200 1347930680 1364721512 1365666610 1387575700 1390496912 1404860380 1405833275 1437543800 1478800400 1482723748 1506510760 1526333270 1550819900 1554084784 1560761840 1571225425 1606666600 1651215083 1657161836 1684913350 1705901890 1736918288 1738121140 1744380880 1756075475 1795686200 1829601200 1845475681 1853404685 1883138450 1887102952 1911933254 1942605980 1949602160 1950952300 2006943400 2012561320 2044848400 2071452295 2109115064 2136866578 2171147860 2172651425 2180476100 2185066576 2249333240 2285418800 2358878690 2388262646 2428257475 2437002700 2442133232 2483030200 2513960680 2515701650 2554291600 2561068292 2594766559 2636393830 2695861360 2713934825 2729443024 2731333220 2775151400 2809720760 2811666550 2875087600 2900033213 2965447496 3013021520 3052666540 3101639800 3142450850 3201335365 3213333200 3302430166 3314323672 3369826700 3411803780 3414166525 3476242280 3512150950 3591372400 3690951362 3706809370 3766276900 3774205904 3815833175 3823866508 3885211960 3901904600 4013886800 4025122640 4142904590 4218230128 4264754725 4273733156 4342295720 4345302850 4360952200 4481869511 4498666480 4717757380 4776525292 4779833135 4856514950 4874005400 4966060400 5027921360 5031403300 5122136584 5189533118 5272787660 5342166445 5427869650 5462666440 5550302800 5619441520 5623333100 5800066426 5897196725 5930894992 5970656615 6105333080 6203279600 6284901700 6402670730 6590984575 6604860332 6628647344 6739653400 6823607560 6828333050 6952484560 7024301900 7042937803 7381902724 7413618740 7532553800 7631666350 7647733016 7770423920 7803809200 8256075415 8285809180 8529509450 8547466312 8684591440 8690605700 8721904400 8963739022 9227378405 9267023425 9435514760 9553050584 9559666270 9713029900 9748010800 10062806600 10244273168 10357261475 10379066236 10545575320 10684332890 10855739300 10925332880 11246666200 11600132852 11794393450 11941313230 12210666160 12569803400 12805341460 12973832795 13181969150 13209720664 13479306800 13647215120 13656666100 14048603800 14085875606 14500166065 14763805448 14827237480 15065107600 15263332700 15295466032 16006676825 16512150830 16571618360 17059018900 17094932624 17381211400 17927478044 18163365913 18454756810 18534046850 18871029520 19106101168 19119332540 19426059800 20125613200 20300232491 20714522950 20758132472 21091150640 21368665780 21711478600 22409347555 22493332400 23200265704 23588786900 23882626460 23899165675 25139606800 25610682920 25947665590 26363938300 26419441328 26710832225 27313332200 28097207600 28171751212 29000332130 29527610896 29654474960 29853283075 30526665400 31373086577 32013353650 33024301660 33143236720 34118037800 34762422800 35214689015 35854956088 36326731826 36909513620 37068093700 38238665080 38852119600 40600464982 41280377075 41429045900 41516264944 42737331560 43422957200 44818695110 46136892025 46400531408 47177573800 47765252920 47798331350 49300564621 51221365840 51895331180 52727876600 53421664450 54626664400 56343502424 58000664260 59706566150 61053330800 62746173154 64026707300 64869163975 66048603320 68236075600 70429378030 71709912176 72500830325 72653463652 73819027240 74136187400 76477330160 81200929964 82560754150 82858091800 85474663120 89637390220 90816829565 92273784050 94355147600 95530505840 95596662700 98601129242 101501162455 103790662360 105455753200 106843328900 112046737775 112687004848 116001328520 119413132300 125492346308 128053414600 129738327950 132097206640 140858756060 145001660650 145306927304 147638054480 148272374800 156865432885 162401859928 165121508300 165716183600 176073445075 179274780440 181633659130 184547568100 191193325400 197202258484 203002324910 207581324720 213686657800 224093475550 232002657040 238826264600 246502823105 250984692616 256106829200 259476655900 281717512120 290003321300 290613854608 313730865770 324803719856 330243016600 345103952347 352146890150 358549560880 363267318260 369095136200 382386650800 394404516968 406004649820 427373315600 448186951100 454084147825 477652529200 493005646210 501969385232 507505812275 518953311800 563435024240 580006642600 627461731540 660486033200 690207904694 704293780300 726534636520 738190272400 784327164425 788809033936 812009299640 896373902200 908168295650 986011292420 1015011624550 1037906623600 1160013285200 1232514115525 1254923463080 1380415809388 1408587560600 1453069273040 1568654328850 1624018599280 1725519761735 1792747804400 1816336591300 1972022584840 2030023249100 2465028231050 2509846926160 2760831618776 2817175121200 3137308657700 3451039523470 3632673182600 3944045169680 4060046498200 4930056462100 5521663237552 6274617315400 6902079046940 7265346365200 8120092996400 8627598808675 9860112924200 12549234630800 13804158093880 17255197617350 19720225848400 27608316187760 34510395234700 69020790469400 138041580938800
- Sum of all divisors σ(n): 472003606108080
- Sum of proper divisors (its aliquot sum) s(n): 333962025169280
- 138041580938800 is an abundant number, because the sum of its proper divisors (333962025169280) is greater than itself. Its abundance is 195920444230480
Bases of 138041580938800
- Binary: 111110110001100010011110110010101100110001100002
- Hexadecimal: 0x7D8C4F656630
- Base-36: 1CXJFD5V74
Squares and roots of 138041580938800
- 138041580938800 squared (1380415809388002) is 19055478068083271489345440000
- 138041580938800 cubed (1380415809388003) is 2630448318062845178274772977592699072000000
-
The
square root of 138041580938800 is 11749109.7934609497 -
The
cube root of 138041580938800 is 51681.6822369075
Scales and comparisons
How big is 138041580938800?- 138,041,580,938,800 seconds is equal to 4,389,295 years, 14 weeks, 5 days, 2 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,041,580,938,800 would take you about ten million, nine hundred seventy-three thousand, two hundred thirty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138041580938800 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138041580938800
- 138041580938800 backwards is 008839085140831
- The number of decimal digits it has is: 15
- The sum of 138041580938800's digits is 58
- More coming soon!
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Numbermatics. (2024). Number 138041580938800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138041580938800/
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The information we have on file for 138041580938800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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